4267477368 has 576 divisors, whose sum is σ = 15934464000. Its totient is φ = 1005903360.

The previous prime is 4267477367. The next prime is 4267477433. The reversal of 4267477368 is 8637747624.

It is a super-2 number, since 2×4267477368² = 36422726172784414848, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (9483264) is a multiple of the sum of its prime factors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4267477367) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33602121 + ... + 33602247.

It is an arithmetic number, because the mean of its divisors is an integer number (27664000).

Almost surely, 2^4267477368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4267477368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7967232000).

4267477368 is an abundant number, since it is smaller than the sum of its proper divisors (11666986632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4267477368 is a wasteful number, since it uses less digits than its factorization.

4267477368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 198 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 54.

The square root of 4267477368 is about 65325.9318188420. The cubic root of 4267477368 is about 1622.0232516737.

The spelling of 4267477368 in words is "four billion, two hundred sixty-seven million, four hundred seventy-seven thousand, three hundred sixty-eight".